Highest Common Factor of 8038, 7234 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 8038, 7234 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8038, 7234 is 2 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 8038, 7234 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 8038, 7234 is 2.
HCF(8038, 7234) = 2
HCF of 8038, 7234 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8038, 7234 is 2.
Highest Common Factor of 8038,7234 is 2
Step 1: Since 8038 > 7234, we apply the division lemma to 8038 and 7234, to get
8038 = 7234 x 1 + 804
Step 2: Since the reminder 7234 ≠ 0, we apply division lemma to 804 and 7234, to get
7234 = 804 x 8 + 802
Step 3: We consider the new divisor 804 and the new remainder 802, and apply the division lemma to get
804 = 802 x 1 + 2
We consider the new divisor 802 and the new remainder 2, and apply the division lemma to get
802 = 2 x 401 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8038 and 7234 is 2
Notice that 2 = HCF(802,2) = HCF(804,802) = HCF(7234,804) = HCF(8038,7234) .
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Frequently Asked Questions on HCF of 8038, 7234 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 8038, 7234?
Answer: HCF of 8038, 7234 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8038, 7234 using Euclid's Algorithm?
Answer: For arbitrary numbers 8038, 7234 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.